en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(9x(2x+5))

Solution

simplify

ln (9 x (2 x + 5))

Solution

2 ln (3) + ln (x) + ln (2 x + 5)

Solution steps

ln (9 x (2 x + 5))

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (9 x (2 x + 5)) = ln (9) + ln (x) + ln (2 x + 5)

= ln (9) + ln (x) + ln (2 x + 5)

ln (9) = 2 ln (3)

= 2 ln (3) + ln (x) + ln (2 x + 5)

Popular Examples

simplify 2(log_{7}(x)+2log_{7}(y)-4log_{7}(z))simplify

2 (lo g_{7} (x) + 2 lo g_{7} (y) - 4 lo g_{7} (z))

simplify 1/8 ln(3)-1/8 ln(8)simplify

\frac{1}{8} ln (3) - \frac{1}{8} ln (8)

simplify log_{5}(3)-log_{5}(t)simplify

lo g_{5} (3) - lo g_{5} (t)

simplify log_{e}(2x)simplify

lo g_{e} (2 x)

simplify log_{10}(a/(b^2c))simplify

lo g_{10} (\frac{a}{b ^{2} c})

Frequently Asked Questions (FAQ)

What is ln(9x(2x+5)) ?
The solution to ln(9x(2x+5)) is 2ln(3)+ln(x)+ln(2x+5)